Reviewed by CalcMulti Editorial Team·Last updated: ·← Percentage & Ratio Hub
Percentage error compares an experimental (measured) value to a known theoretical (accepted) value. Formula: % Error = |Experimental − Theoretical| / |Theoretical| × 100. The absolute value signs mean the result is always non-negative — a 5% error whether your measurement is high or low.
Percentage error is fundamental in physics, chemistry, and engineering labs. It quantifies how accurate your measurement was. A 1% error is excellent; 5% is acceptable in many contexts; above 10% usually indicates a systematic problem with method or equipment.
For example, if you measure the density of water as 0.98 g/mL when the accepted value is 1.00 g/mL: % Error = |0.98 − 1.00| / |1.00| × 100 = 0.02 / 1.00 × 100 = 2%.
% Error = |Experimental − Theoretical| / |Theoretical| × 100
|Experimental − Theoretical| / |Theoretical| × 100
Compare two values without a reference
Percentage Change CalculatorCalculate % increase or decrease
Parts Per Million CalculatorPPM, PPB, and concentration conversions
Decimal to Percent CalculatorConvert decimals to percentages
Percentage & Ratio HubAll percentage and ratio tools
This calculator is for educational purposes only and does not constitute professional advice. Results are based on standard mathematical formulas. Always verify critical calculations with a qualified professional before making important decisions.